Information on Result #59222
There is no OA(3111, 148, S3, 69), because the linear programming bound shows that M ≥ 34269 689678 954827 771722 528323 125817 537099 985988 010230 663767 339699 553771 239936 / 338753 436767 266709 313125 > 3111
Mode: Bound.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(3111, 148, S3, 2, 69) | [i] | Depth Reduction | |
| 2 | No OOA(3111, 148, S3, 3, 69) | [i] | ||
| 3 | No OOA(3111, 148, S3, 4, 69) | [i] | ||
| 4 | No OOA(3111, 148, S3, 5, 69) | [i] | ||
| 5 | No (42, 111, 148)-net in base 3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3103, 214, F3, 63) (dual of [214, 111, 64]-code) | [i] | Construction Y1 (Bound) | |
| 7 | No linear OA(3112, 204, F3, 69) (dual of [204, 92, 70]-code) | [i] | ||